"Multiplication and Division of Quadratic Radicals" Quadratic Radicals PPT Courseware 3

Description

"Multiplication and Division of Quadratic Radicals" Quadratic Radicals PPT Courseware 3

Removing the root sign from the denominator is called rationalizing the denominator.

The method of rationalizing the denominator is generally to multiply the numerator and denominator by the same appropriate algebraic formula so that the denominator does not contain a radical.

When two non-zero algebraic expressions containing quadratic radicals are multiplied together, if their product does not contain a quadratic radical, the two non-zero algebraic expressions containing quadratic radicals are said to be rational factors of each other.

think about it

The rationalized factor of a+√b is a-√b

The rationalized factor of √(a+b) is √(a+b);

The rationalization factor of a√x+b√y is a√x-b√y

Example 1 Rationalize the denominators of the following expressions:

(1)5/3√3 (2)x/√ax (3)√(a-b)/√(a²-b²) (4)√(a+b)/√ab²+a²b

Method to rationalize the denominator: Multiply both the numerator and the denominator by the same appropriate algebraic expression so that the denominator does not contain a radical.

Example 2 Calculation:

(1)10/√5-4/(√5-1) (2)1/x+√(1+x²)+1/x-√(1+x²)

question

How to calculate the following equation? Does the observed product contain a quadratic radical?

(√x+√y)(√x-√y)=x-y

When two non-zero algebraic expressions containing quadratic radicals are multiplied together, if their product does not contain a quadratic radical, the two non-zero algebraic expressions containing quadratic radicals are said to be rational factors of each other.

The courseware contains a wealth of examples, fully explains the definition and properties of quadratic radicals, and strengthens difficult and key content. It is very suitable for junior high school mathematics teaching.

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"Multiplication and Division of Quadratic Radicals" PPT Courseware 2:

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"Multiplication and Division of Quadratic Radicals" PPT courseware:

"Multiplication and Division of Quadratic Radicals" PPT courseware Learning objectives: 1. Understand the rules of multiplication and division of quadratic radicals, and be able to use the rules to simplify quadratic radicals. 2. Be able to perform operations on quadratic radicals according to rules to further improve students’ computing abilities. 3. Learn to think independently and be able to...

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Update Time: 2024-07-04

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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